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The relative Hodge-Tate spectral sequence

By Ahmed Abbes

Appears in collection : Conference on Arithmetic Geometry in honor of Luc Illusie

I will report on a joint work with Michel Gros providing a generalization of the Hodge-Tate spectral sequence to morphisms. The latter takes place in Faltings topos. Its construction requires the introduction of a relative variant of this topos which is the main novelty of our work.

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